1. What is Volume of Shaft given Total Strain Energy in Shaft due to Torsion?

This calculation determines the volume of a shaft based on the strain energy stored in it due to torsional loading, using the modulus of rigidity and shear stress parameters.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V \) — Volume of Shaft (m³)
• \( U \) — Strain Energy in body (Joule)
• \( G \) — Modulus of rigidity of Shaft (Pascal)
• \( \tau \) — Shear stress on surface of shaft (Pascal)

Explanation: This formula relates the volume of a shaft to the strain energy stored during torsion, incorporating material properties and stress conditions.

3. Importance of Volume Calculation

Details: Calculating shaft volume is essential for material estimation, weight calculation, and structural analysis in mechanical design and engineering applications.

4. Using the Calculator

Tips: Enter strain energy in joules, modulus of rigidity in pascals, and shear stress in pascals. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is strain energy in torsion?
A: Strain energy is the energy stored in a shaft when it is twisted, representing the work done by the applied torque.

Q2: Why is modulus of rigidity important?
A: Modulus of rigidity measures a material's resistance to shear deformation, which is crucial in torsion calculations.

Q3: How does shear stress affect the volume calculation?
A: Higher shear stress values result in smaller calculated volumes for the same strain energy, as the relationship is inverse squared.

Q4: What are typical units for these measurements?
A: Strain energy in joules (J), modulus of rigidity in pascals (Pa), shear stress in pascals (Pa), and volume in cubic meters (m³).

Q5: Can this formula be used for non-circular shafts?
A: This specific formula is derived for circular shafts under torsion. Different formulas apply to shafts with other cross-sectional shapes.